Remesh modifier on curve does not work
So, I read this question and try it myself, after lot of trials and errors, I found the settings that I think get close to the video are:


Curve type: 2D, give it extrude value of 0.01m
Remesh modifier with Sharp mode, Octree Depth: 5, Scale: 0.6, and Sharpness: 0.1
Shrinkwrap modifier with Offset of 0.01m
This one is optional, but I think this is what they do in the video: check Wireframe in Object properties > Viewport Display.